Ivy on Tree

I have an East facing garden, the darkest corner has a tree that's been taken over by ivy and is a spider hotel which I'm anxious about. The soil underneath won't grow grass just rather tall weeds. The cat uses the area as a toilet constantly, it's just awful.
How do I get rid of the ivy and is there any hope of the area growing grass ever again.
I have 0% gardening experience, just starting out. I'll appreciate any reply. Thanks.
How do I get rid of the ivy and is there any hope of the area growing grass ever again.
I have 0% gardening experience, just starting out. I'll appreciate any reply. Thanks.
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Ivy doesn't directly harm trees, but there is a hazard. It increases the tree's wind resistance. Deciduous trees can withstand winter gales because the wind blows straight through the leafless crown. A heavy growth of ivy in the crown, at a time of year when the ground is softer, because wetter, and a tree can come down in a high wind.
If you cut through the ivy stems close to the ground, the upper growth on the tree will die and the leaves will drop off.
As for the cat, it has to crap somewhere. Is there an out of the way corner where you could keep a patch of soil regularly turned over? It will probably prefer that.